Facet (geometry)

For other uses of facet, see Facet (disambiguation)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.


  1. Bridge, N.J. Facetting the dodecahedron, Acta crystallographica A30 (1974), pp. 548–552.
  2. Inchbald, G. Facetting diagrams, The mathematical gazette, 90 (2006), pp. 253–261.
  3. Coxeter, H. S. M. (1973), Regular Polytopes, Dover, p. 95.
  4. Matoušek, Jiří (2002), Lectures in Discrete Geometry, Graduate Texts in Mathematics, 212, Springer, 5.3 Faces of a Convex Polytope, p. 86.
  5. De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco (2010), Triangulations: Structures for Algorithms and Applications, Algorithms and Computation in Mathematics, 25, Springer, p. 493, ISBN 9783642129711.

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